Finding the Third Proportional to 6,590.50 and 10,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,590.50 : 10,472.50 = 10,472.50 : x
2. Step 2: Convert to fraction form
   6,590.50/10,472.50 = 10,472.50/x
3. Step 3: Cross multiply
   6,590.50x = 10,472.50 × 10,472.50
4. Step 4: Simplify right side
   6,590.50x = 109,673,256.25
5. Step 5: Solve for x
   x = 109,673,256.25/6,590.50
6. Step 6: Final answer
   x = 16,641.11